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Finding the Fourth Proportional to 138,191.84, 207,265.60 and 49,428.80

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Solution

The fourth proportional to 138,191.84, 207,265.60 and 49,428.80 is: 74,135.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,191.84 : 207,265.60 = 49,428.80 : x
  2. Step 2: Convert to fraction form
    138,191.84/207,265.60 = 49,428.80/x
  3. Step 3: Cross multiply
    138,191.84x = 207,265.60 × 49,428.80
  4. Step 4: Simplify right side
    138,191.84x = 10,244,889,889.28
  5. Step 5: Solve for x
    x = 10,244,889,889.28/138,191.84
  6. Step 6: Final answer
    x = 74,135.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.